Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/25995
Title: | Product preservation and stable units for reflections into idempotent subvarieties |
Author: | Xarez, João J. Xarez, Isabel A. |
Keywords: | Semi-left-exactness Stable units Simple reflection Preservation of finite products Varieties of universal algebras Idempotent |
Issue Date: | 2020 |
Publisher: | Shahid Beheshti University |
Abstract: | We give a necessary and sufficient condition for the preservation of finite products by a reflection of a variety of universal algebras into an idempotent subvariety. It is also shown that simple and semi-left-exact reflections into subvarieties of universal algebras are the same. It then follows that a reflection of a variety of universal algebras into an idempotent subvariety has stable units if and only if it is simple and the above-mentioned condition holds. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/25995 |
ISSN: | 2345-5853 |
Appears in Collections: | CIDMA - Artigos AGG - Artigos DMat - Artigos |
Files in This Item:
File | Description | Size | Format | |
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CGASA_Volume 13_Issue 1_Pages 1-22.pdf | 540.88 kB | Adobe PDF | View/Open |
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